Moore-Penrose inverses of Gram operators on Hilbert C*-modules
M. S. Moslehian ; K. Sharif ; M. Forough ; M. Chakoshi
Studia Mathematica, Tome 209 (2012), p. 189-196 / Harvested from The Polish Digital Mathematics Library
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Let t be a regular operator between Hilbert C*-modules and t† be its Moore-Penrose inverse. We investigate the Moore-Penrose invertibility of the Gram operator t*t. More precisely, we study some conditions ensuring that t†=(t*t)†t*=t*(tt*)† and (t*t)†=t†t*†. As an application, we get some results for densely defined closed operators on Hilbert C*-modules over C*-algebras of compact operators.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:285532 
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M. S. Moslehian; K. Sharif; M. Forough; M. Chakoshi. Moore-Penrose inverses of Gram operators on Hilbert C*-modules. Studia Mathematica, Tome 209 (2012) pp. 189-196. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm210-2-6/